Fractional differential equations with worsening right-hand sides

被引：0
作者：
E. A. Barkova
P. P. Zabreiko
机构：
[1] Belarus State University of Computer Science and Radio Electronics,Institute of Mathematics
[2] National Academy of Sciences,undefined
来源：
Differential Equations | 2010年 / 46卷
关键词：
Banach Space; Cauchy Problem; Uniqueness Theorem; Lipschitz Condition; Fractional Differential Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We suggest methods for studying fractional differential equations with Caputo and Riemann-Liouville derivatives. Existence and uniqueness theorems are proved for the Cauchy problem for differential equations with worsening operators in scales of Banach spaces.
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页码：208 / 213
页数：5
相关论文
共 9 条
  • [1] Zabreiko P.P.(1987)Applications of Fixed Point Theory to the Cauchy Problem for Equations with Worsening Operators Differ. Uravn. 23 345-348
  • [2] Radyno Ya.V.(1989)Existence and Uniqueness Theorems for the Cauchy Problem for Differential Equations with Worsening Operators Dokl. Akad. Nauk BSSR 23 1061-1064
  • [3] Zabreiko P.P.(1991)The Cauchy Problem for Higher-Order Differential Equations with Worsening Operators Differ. Uravn. 27 472-478
  • [4] Barkova E.A.(2006)The Cauchy Problem for Fractional Differential Equations with Worsening Right-Hand Sides Differ. Uravn. 42 1132-1134
  • [5] Zabreiko P.P.(2001)Differential Equations of Fractional Order: Methods, Results and Problems Appl. Anal. 1 153-192
  • [6] Barkova E.A.(undefined)undefined undefined undefined undefined-undefined
  • [7] Zabreiko P.P.(undefined)undefined undefined undefined undefined-undefined
  • [8] Kilbas A.A.(undefined)undefined undefined undefined undefined-undefined
  • [9] Trujillo J.J.(undefined)undefined undefined undefined undefined-undefined
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